Stability of a fixed point in the replica action for the random field Ising model

dc.creatorMukaida, Hisamitsu
dc.creatorSakamoto, Yoshinori
dc.date1999-06-28
dc.date2000-02-16
dc.date.accessioned2026-07-07T03:13:46Z
dc.date.available2026-07-07T03:13:46Z
dc.descriptionWe reconsider stability of the non-trivial fixed point in $6-ε$ dimensional effective action for the random field Ising model derived by Brézin and De Dominicis. After expansion parameters of physical observables are clarified, we find that the non-trivial fixed point in $6-ε$ dimensions is stable, contrary to the argument by Brézin and De Dominicis. We also computed the exponents $ν$ and $η$ by the $ε$ expansion. The results are consistent with the argument of the dimensional reduction at least in the leading order.
dc.description9 pages, 2 figures, LaTeX2e, major revision, the RG method same as Brezin and De Dominisis (Europhys. Lett. 44(1998) 13) is used for ease of comparison
dc.identifierhttps://arxiv.org/abs/cond-mat/9906405
dc.identifierhttp://arxiv.org/abs/cond-mat/9906405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29429
dc.subjectStatistical Mechanics
dc.titleStability of a fixed point in the replica action for the random field Ising model
dc.typetext

Files

Collections